Question

Identify the first step using the elimination method to solve the following system of equations:
3x + 2y = 4
-5x + 15y = -25
A. 5(3x + 2y = 4) 3(-5x + 15y = -25)
B. 15(3x + 2y = 4) 2(-5x + 15y = -25)
C. 3(3x + 2y = 4) 5(-5x + 15y = -25)
D. 25(3x + 2y = 4) 4(-5x + 15y = -25)

Answer 1

@AntoinetteWillman , which do you believe is correct?

Answer 2

B.

Answer 3

@Hero

Answer 4

No, it's not B unfortunately.

Answer 5

You have to multiply each equation by a number such that one of the variables can be eliminated by addition or subtraction.

Answer 6

For example, if you had the following system:

-2x + 3y = 4
3x + 4y = 5

Then you could multiply the first equation by 3
3(-2x + 3y = 4)

And the second equation by 2:
2(3x + 4y = 5)

As a result, you will get:
-6x + 9y = 12
6x + 8y = 10

Now notice that you have -6x in the first equation and 6x in the second equation.

Because -6x + 6x = 0, the x variable is eliminated when adding both equations together.

Answer 7

@AntoinetteWillman

Answer 8

So C.

Answer 9

No, not C either. I suppose you're going to keep guessing.

Answer 10

I give up. Thanks anyway.

Answer 11

I'm sorry to hear that.